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Coach Taj
turbulence@nostrcheck.me
npub1yl2d...pnpq
Coach Taj says …
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tj2025 2 weeks ago
Prediction 4.2. The next major obstruction in the rationality problem (e.g., for five-folds) will be detected not by a homology class (Hk) but by a more subtle cohomology operation (a Steenrod square or Massey product), representing a higher-order failure of trust (cohomology) in gluing local argument patches.
White Paper: Topological Transmutation of the Kontsevich Proof
Coach . Taj . Intention . Lisp . turbulence . intelligence . tj-coulon . troy . beyond . allusive . p-vs-np . Pure . Musical . Visual . Direct .
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tj2025 1 month ago
Topetic vs Exoholoic This white paper presents a formal comparison between two emerging frameworks in conceptual mathematics and cognitive topology: Topetic Systems and Exoholoic Systems. While both frameworks address the structural relationships in complex systems, they operate at fundamentally different conceptual levels—Topetic systems governing internal placement and relational dynamics, and Exoholoic systems defining external contextual relationships to complete wholes.
Topetic vs. Exoholoic Systems
Coach . Taj . Intention . Lisp . turbulence . intelligence . tj-coulon . troy . beyond . allusive . p-vs-np . Pure . Musical . Visual . Direct .
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tj2025 1 month ago
A White Paper on the Mathematical Structure of Communication and Deception ``` Abstract We present a formal mathematical framework treating intentions as geometric operations on semantic manifolds. By defining an intentionality tensor that measures how communicative acts transform information spaces, we prove that malicious, hostile, and prejudiced intentions constitute structural failures rather than mere ethical lapses. These intentions deploy what we term "reckless operators"—chaotic homeomorphisms that destroy topological invariants necessary for truth-preservation. This framework unifies epistemology, ethics, and information theory under a single geometric structure, providing computational methods for detecting misinformation and predicting systemic collapse of coherent discourse.
Geometric Algebra of Intention: A Formal Framework for Truth-Preservation
Coach . Taj . Intention . Lisp . turbulence . intelligence . tj-coulon . troy . beyond . allusive . p-vs-np . Pure . Musical . Visual . Direct .
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tj2025 1 month ago
Cosmos This paper introduces a geometric formwoek for modeling linguistic structure, treating noun phrases as fiber bundles over a base manifold of primitive nouns and syntactic structures. We demonstrate that this approach provides a unified mathematical foundation for understanding syntactic creativity, semantic variation, and the relationship between surface structure and deep meaning.
Topolinguistics vs Geometric Linguistics: The Fiber Bundle Model of Noun Phrases
Coach . Taj . Intention . Lisp . turbulence . intelligence . tj-coulon . troy . beyond . allusive . p-vs-np . Pure . Musical . Visual . Direct .
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tj2025 1 month ago
Bluesky Social
Happy Speech Plus (@tcoulon2025.bsky.social)
stacker.news/items/1248777 The dominant public health narrative has long focused on the risks of excessive sun exposure, leading to widespread avo...
 The Solar Paradigm Shift The dominant public health narrative has long focused on the risks of excessive sun exposure, leading to widespread avoidance behaviors. However, emerging research from diverse fields suggests a more nuanced understanding. Sunlight, like many natural elements, follows a dose-response curve: too little can be as harmful as too much. This paper reframes sunlight as a form of "medicine," where the goal is optimization rather than avoidance. The challenge is to find the right balance for each individual, based on their unique biology and environment.
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tj2025 1 month ago
Bluesky Social
Happy Speech Plus (@tcoulon2025.bsky.social)
Turbulence is a property of conflict dynamics characterized by sensitive dependence on initial conditions, non-linear feedback loops, and emergent ...
 3. Turbulence: The Three-Dimensional Necessity Definition 3.1 (Conflict Turbulence): Turbulence is a property of conflict dynamics characterized by sensitive dependence on initial conditions, non-linear feedback loops, and emergent vortical structures. Turbulence is defined in three or more dimensions but undefined in two-dimensional spaces.
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tj2025 1 month ago
Geometric Viscosity Abstract We reintroduce subgratance, a mathematical construct describing the fundamental substrate enabling stickiness; geometric operations that maintains exploration capacity. Through topological problem(s) and conservation principles, we establish subgratance as the necessary condition for bounded geometric manifolds that resist, tolerate and endure both collapse and runaway divergence. We prove fundamental theorems governing subgratance dynamics and demonstrate applications.
Geometric Viscosity
Coach . Taj . Intention . Lisp . turbulence . intelligence . tj-coulon . troy . beyond . allusive . p-vs-np . Pure . Musical . Visual . Direct .
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